SOLUTION: Solve the following. (Leave the answer in radical form.) 8x^2 + 5x = -3

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Question 798452: Solve the following. (Leave the answer in radical form.)
8x^2 + 5x = -3
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
8x%5E2+%2B+5x+=+-3

8x%5E2+%2B+5x+%2B+3+=+0

Use the quadratic formula to solve for x

x+=+%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F%282a%29

x+=+%28-%285%29%2B-sqrt%28%285%29%5E2-4%288%29%283%29%29%29%2F%282%288%29%29 Plug in a+=+8, b+=+5, c+=+3

x+=+%28-5%2B-sqrt%2825-%2896%29%29%29%2F%2816%29

x+=+%28-5%2B-sqrt%28-71%29%29%2F16

x+=+%28-5%2Bsqrt%28-71%29%29%2F16 or x+=+%28-5-sqrt%28-71%29%29%2F16

x+=+%28-5%2Bi%2Asqrt%2871%29%29%2F16 or x+=+%28-5-i%2Asqrt%2871%29%29%2F16

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The two solutions are

x+=+%28-5%2Bi%2Asqrt%2871%29%29%2F16 or x+=+%28-5-i%2Asqrt%2871%29%29%2F16